Abstract
In this paper, we provide an algorithm to convert the third-order nonlinear evolution equations to regular higher-order partial differential equations near movable singularities. Therefore, the Cauchy-Kowalevski theorem is always applicable. As a result, we always have a routine conceptual proof of the convergence of the Laurent series obtained from the Painlevé test. Copyright © 2021 Hikari Ltd.
| Original language | English |
|---|---|
| Pages (from-to) | 1-21 |
| Journal | International Journal of Mathematical Analysis |
| Volume | 15 |
| Issue number | 1 |
| Early online date | 15 Jan 2021 |
| DOIs | |
| Publication status | Published - 2021 |
Citation
Yee, T. L. (2021). A method of proving the convergence of the formal Laurent series solutions of nonlinear evolution equations. International Journal of Mathematical Analysis, 15(1), 1-21. doi: 10.12988/ijma.2021.912133Keywords
- Regularity
- Laurent series solution
- Convergence